where \(k\)  some constant. By an analysis of null vectors, it can be shown [1]}, [2]} that in this case, the BMS\(_3\)  algebra reduces to a single copy of a Virasoro algebra. This is also known as the chiral limit of BMS\(_3\)  in literature, and clearly this is a limit where the resulting field theory is purely chiral. This limit, from the point of view of the dual bulk, is where one takes the double scaling limit
\( G \rightarrow \infty , \mu \rightarrow 0, \quad \text{keeping fixed} \, \, \mu G = \frac{1}{8k}.\) 
